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A 1 MeV proton is sent against a gold leaf (Z = 79). Calculate the distance of closest approach for head on collision.

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K.E. = P.E.

1/2mv2 = 1/4πεo Ze2/d Hence d = Ze2/4πεo( 1/2mv2)

= 9 x 109 x 79 x ( 1.6 x 10-19)2 /( 1.6 x 10-13 ) [ as 1 MeV = 1.6 x 10-13 J]

= 1.137 x 10-13 m

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